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<a href="#func-members">Functions</a>  </div>
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<div class="title">Interpolate Namespace Reference</div>  </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:afc1377dccaf77dedbbbe66d826a3b829"><td class="memTemplParams" colspan="2">template&lt;typename y_t , typename x_t &gt; </td></tr>
<tr class="memitem:afc1377dccaf77dedbbbe66d826a3b829"><td class="memTemplItemLeft" align="right" valign="top">y_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d0/dff/namespace_interpolate.html#afc1377dccaf77dedbbbe66d826a3b829">lerp</a> (y_t y0, y_t yf, x_t x)</td></tr>
<tr class="separator:afc1377dccaf77dedbbbe66d826a3b829"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a27f269a32607fe04fe81006adf6584aa"><td class="memTemplParams" colspan="2">template&lt;typename y_t , typename x_t &gt; </td></tr>
<tr class="memitem:a27f269a32607fe04fe81006adf6584aa"><td class="memTemplItemLeft" align="right" valign="top">y_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d0/dff/namespace_interpolate.html#a27f269a32607fe04fe81006adf6584aa">cubicBezier</a> (y_t y0, y_t yf, x_t x)</td></tr>
<tr class="separator:a27f269a32607fe04fe81006adf6584aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0629d179c5d037e812e93235139ca0d0"><td class="memTemplParams" colspan="2">template&lt;typename y_t , typename x_t &gt; </td></tr>
<tr class="memitem:a0629d179c5d037e812e93235139ca0d0"><td class="memTemplItemLeft" align="right" valign="top">y_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d0/dff/namespace_interpolate.html#a0629d179c5d037e812e93235139ca0d0">cubicBezierFirstDerivative</a> (y_t y0, y_t yf, x_t x)</td></tr>
<tr class="separator:a0629d179c5d037e812e93235139ca0d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adf3e75f76efd5dd3425e02ab5ebd5fcd"><td class="memTemplParams" colspan="2">template&lt;typename y_t , typename x_t &gt; </td></tr>
<tr class="memitem:adf3e75f76efd5dd3425e02ab5ebd5fcd"><td class="memTemplItemLeft" align="right" valign="top">y_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d0/dff/namespace_interpolate.html#adf3e75f76efd5dd3425e02ab5ebd5fcd">cubicBezierSecondDerivative</a> (y_t y0, y_t yf, x_t x)</td></tr>
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<h2 class="groupheader">Function Documentation</h2>
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template&lt;typename y_t , typename x_t &gt; </div>
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          <td class="memname">y_t Interpolate::cubicBezier </td>
          <td>(</td>
          <td class="paramtype">y_t&#160;</td>
          <td class="paramname"><em>y0</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">y_t&#160;</td>
          <td class="paramname"><em>yf</em>, </td>
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<p>Cubic bezier interpolation between y0 and yf. x is between 0 and 1 </p>

<p>Definition at line <a class="el" href="../../df/d55/_interpolation_8h_source.html#l00029">29</a> of file <a class="el" href="../../df/d55/_interpolation_8h_source.html">Interpolation.h</a>.</p>
<div class="fragment"><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                                       {</div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  static_assert(std::is_floating_point&lt;x_t&gt;::value,</div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                <span class="stringliteral">&quot;must use floating point value&quot;</span>);</div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  assert(x &gt;= 0 &amp;&amp; x &lt;= 1);</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  y_t yDiff = yf - y0;</div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;  x_t bezier = x * x * x + x_t(3) * (x * x * (x_t(1) - x));</div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  <span class="keywordflow">return</span> y0 + bezier * yDiff;</div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;}</div></div><!-- fragment -->
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          <td class="memname">y_t Interpolate::cubicBezierFirstDerivative </td>
          <td>(</td>
          <td class="paramtype">y_t&#160;</td>
          <td class="paramname"><em>y0</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
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<p>Cubic bezier interpolation derivative between y0 and yf. x is between 0 and 1 </p>

<p>Definition at line <a class="el" href="../../df/d55/_interpolation_8h_source.html#l00043">43</a> of file <a class="el" href="../../df/d55/_interpolation_8h_source.html">Interpolation.h</a>.</p>
<div class="fragment"><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                                                      {</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  static_assert(std::is_floating_point&lt;x_t&gt;::value,</div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                <span class="stringliteral">&quot;must use floating point value&quot;</span>);</div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  assert(x &gt;= 0 &amp;&amp; x &lt;= 1);</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  y_t yDiff = yf - y0;</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  x_t bezier = x_t(6) * x * (x_t(1) - x);</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="keywordflow">return</span> bezier * yDiff;</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;}</div></div><!-- fragment -->
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          <td class="memname">y_t Interpolate::cubicBezierSecondDerivative </td>
          <td>(</td>
          <td class="paramtype">y_t&#160;</td>
          <td class="paramname"><em>y0</em>, </td>
        </tr>
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          <td class="paramkey"></td>
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          <td class="paramkey"></td>
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          <td></td>
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<p>Cubic bezier interpolation derivative between y0 and yf. x is between 0 and 1 </p>

<p>Definition at line <a class="el" href="../../df/d55/_interpolation_8h_source.html#l00057">57</a> of file <a class="el" href="../../df/d55/_interpolation_8h_source.html">Interpolation.h</a>.</p>
<div class="fragment"><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                                                       {</div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  static_assert(std::is_floating_point&lt;x_t&gt;::value,</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                <span class="stringliteral">&quot;must use floating point value&quot;</span>);</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;  assert(x &gt;= 0 &amp;&amp; x &lt;= 1);</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  y_t yDiff = yf - y0;</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  x_t bezier = x_t(6) - x_t(12) * x;</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  <span class="keywordflow">return</span> bezier * yDiff;</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;}</div></div><!-- fragment -->
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          <td class="memname">y_t Interpolate::lerp </td>
          <td>(</td>
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          <td class="paramname"><em>y0</em>, </td>
        </tr>
        <tr>
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<p>Linear interpolation between y0 and yf. x is between 0 and 1 </p>

<p>Definition at line <a class="el" href="../../df/d55/_interpolation_8h_source.html#l00018">18</a> of file <a class="el" href="../../df/d55/_interpolation_8h_source.html">Interpolation.h</a>.</p>
<div class="fragment"><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;                                {</div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  static_assert(std::is_floating_point&lt;x_t&gt;::value,</div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                <span class="stringliteral">&quot;must use floating point value&quot;</span>);</div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  assert(x &gt;= 0 &amp;&amp; x &lt;= 1);</div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keywordflow">return</span> y0 + (yf - y0) * x;</div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;}</div></div><!-- fragment -->
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